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 Author Topic: Ejs Open Source Eratosthenes Measures Earth Java Applet  (Read 9753 times) 0 Members and 1 Guest are viewing this topic. Click to toggle author information(expand message area).
lookang
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 « Embed this message on: June 21, 2012, 05:05:25 pm » posted from:SINGAPORE,SINGAPORE,SINGAPORE

Ejs Open Source Eratosthenes Measures Earth Java Applet by Todd Timberlake. Todd K. Timberlake (ttimberlake@berry.edu)
http://facultyweb.berry.edu/ttimberlake/galaxies/#sims
remixed by lookang
trying to make it suited for determination of circumference of earth and radius of earth!

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General Description by Todd changes by lookang
This simulation shows the shadows cast by two gnomons at different locations on Earth. For one gnomon the sun is directly overhead (as would be the case if the gnomon was on the Tropic of Cancer at the summer solstice). The other gnomon is due north of the first gnomon. The sizes of the gnomons are greatly exaggerated for visibility. This simulation can be used to help illustrate how Eratosthenes was able to measure the radius and circumference of Earth using the shadows cast by two gnomons, one situated due north of the other, on a day when the southerly gnomon cast no shadow at all. The distance between the two gnomons (along Earth's surface) can be adjusted. The length of the shadow is given, and this length can be used to determine the angle between the gnomon lines and from that the radius and circumference of Earth. The Earth can be hidden to give a better view of the relevant geometry which the alternate angles in Mathematics education in used.
Eratosthenes Measures Earth
Show Earth: show a disk (updated with graphics by lookang) representing Earth. Deselect this option to get a better view of the geometry.
Show Length of Shadow: display a panel at the bottom of the window that gives the length of the moveable gnomon's shadow.
Show Angle Between Gnomons: display a panel at the bottom of the window that gives the angle between the two gnomon lines. This can be used to help students who are unfamiliar with trigonometry (specifically the inverse tangent function that is needed to compute this angle from the length of the shadow).
Show Sunbeams: show lines representing rays of sunlight that graze the tops of the gnomons.
Show Center of Earth: show a dot at the center of Earth.
Visual Elements
Blue disk: Earth. (updated with graphics by lookang)
Red lines: the two gnomons. If you hide Earth the gnomon lines extend down to Earth's center.
Yellow arrows: light rays from Sun. These lines are effectively parallel to each other (although strictly speaking they are not exactly parallel) because Sun is on the order of 10,000 Earth diameters from Earth.
Magenta line: shadow cast by the moveable gnomon (the fixed gnomon does not cast a shadow since Sun is assumed to be directly overhead for that gnomon).
Green dot: the center of Earth.
Controls, etc.
Distance: the distance (in km) along Earth's surface between the two gnomons.
The length of the moveable gnomon's shadow is given (in units of the gnomon's length).
The angle between the two gnomon lines is given (in degrees).
Input Fields and Feedback (lookang) for learning assessment
 Ejs Open Source Eratosthenes Measures Earth Java Applet.PNG (252.14 KB, 704x665 - viewed 666 times.) « Last Edit: June 25, 2012, 07:36:16 pm by lookang » Logged
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 « Embed this message Reply #1 on: June 21, 2012, 05:08:37 pm » posted from:SINGAPORE,SINGAPORE,SINGAPORE

changes

tilted by 23.5 degree to simulate topic of cancer
color code the checkbox
add distance = arc length drawing

22June 2012
add assessment for learning input fields with feedback for Radius of Earth and Circumference of Earth

25 june 2012
add // which is taken from http://www.shadedrelief.com/natural3/pages/textures.html // who release it to the public domain // Tom Patterson, www.shadedrelief.com. //resize to 2000x1000 by lookang using GIMP and quality reduce to 80% for 200+kb filesize to use materials that are in public domain
disabled the html as the pop box from NTNU seems to be too many, testing

credits to Todd Timberlake!
i didn't make this, just remixing to customize it to suit the Wikipedia entry http://en.wikipedia.org/wiki/Eratosthenes

Eratosthenes' measurement of the Earth's circumference
illustration showing a portion of the globe showing a part of the African continent. The sun is shown and arrows indicate rays of the sun hitting earth. Rays or arrows point to Alexandria (labeled "A") and Syrene (labeled "S"). Blue lines are drawn from A and S towards the equator. There is a line representing the Tropic of Cancer running to S. Two small curved arrows indicating a measurement are drawn from the Greek symbol phi. One ends midway between the blue lines from A and S and the other ends between the ray of light hitting A and an extension of the blue line passing through A into space.
Measurements taken at Alexandria (A) and Syene (S)

 Ejs_Open_Source_Eratosthenes_Measures_Earth_Java_Applet_2012-06-22_1021.png (395.11 KB, 708x669 - viewed 623 times.)  Ejs_Open_Source_Eratosthenes_Measures_Earth_Java_Applet_2012-06-22_0911.png (366.5 KB, 708x669 - viewed 554 times.)  Ejs_Open_Source_Eratosthenes_Measures_Earth_Java_Applet_2012-06-21_1806.png (38.24 KB, 599x669 - viewed 628 times.)  Eratosthenes'_measurement_of_the_Earth's_circumference transparent2012-06-22_0847.png (522.22 KB, 640x638 - viewed 2280 times.)  Ejs Open Source Geostationary Satellite around Earth Java Applet tansparent.png (402.26 KB, 867x867 - viewed 635 times.)  Ejs_Open_Source_Eratosthenes_Measures_Earth_Java_Applet_2012-06-25_1038.png (486.3 KB, 867x867 - viewed 507 times.) « Last Edit: June 25, 2012, 07:38:09 pm by lookang » Logged
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 « Embed this message Reply #2 on: September 13, 2012, 08:27:02 am » posted from:SINGAPORE,SINGAPORE,SINGAPORE

changes

made the globe drawing more perfectly spherical by changing the resolution to "360,360,360,360"
for
http://en.wikipedia.org/wiki/Eratosthenes
Illustration showing a portion of the globe showing a part of the African continent. The sun beams shown as 2 rays hitting earth at Syene and Alexandria. Angle of sun beam and the gnomons (vertical sticks) is shown at Alexandria which allowed Eratosthenes' estimates of radius and circumference of Earth.
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You cannot always have happiness but you can always give happiness. ..."Mother Teresa(1910-1997, Roman Catholic Missionary, 1979 Nobel Peace Prize)"